Tannaka-Krein duality of quantum homogeneous spaces

Makoto Yamashita (U Ochanomizu)

Wednesday 9th January, 2013 16:00-17:00 516


We study ergodic actions of compact quantum groups on operator algebras from the categorical point of view. The language of Rep(G)-module C*-categories gives a reconstruction theorem of quantum homogeneous spaces, which also captures the equivariant Morita equivalence and the equivariant homomorphisms. For the case of quantum SU(2), we obtain a combinatorial description of quantum homogeneous spaces and their properties based on the categorical structure of such modules. Based on joint work with Kenny De Commer (arXiv:1211.6552, arXiv:1212.3413).

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